Gromov‐Hausdorff Limits of Kähler Manifolds with Bisectional Curvature Lower Bound

DOI10.1002/cpa.21724zbMath1384.53042arXiv1505.07521OpenAlexW2963859755MaRDI QIDQ4603101

Gang Liu

Publication date: 19 February 2018

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07521

zbMATH Keywords

Kähler manifoldsbisectional curvatureGromov-Hausdorff limits

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

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Gromov-Hausdorff limits of Kähler manifolds with Ricci curvature bounded below ⋮ Some local maximum principles along Ricci flows ⋮ The Ricci flow under almost non-negative curvature conditions ⋮ Kähler manifolds with curvature bounded below ⋮ Existence of nonconstant CR-holomorphic functions of polynomial growth in Sasakian manifolds ⋮ On the tangent cone of Kähler manifolds with Ricci curvature lower bound ⋮ Compactification of certain Kähler manifolds with nonnegative Ricci curvature ⋮ Kähler manifolds with almost nonnegative curvature ⋮ Comparison geometry of holomorphic bisectional curvature for Kähler manifolds and limit spaces ⋮ Metric rigidity of Kähler manifolds with lower Ricci bounds and almost maximal volume

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